{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "xpoints=np.array([1,2,6,8])\n",
    "ypoints=np.array([3,8,1,10])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#连线\n",
    "plt.plot(xpoints, ypoints)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#散点\n",
    "plt.plot(xpoints, ypoints, 'o')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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GwlPh3m+/7v3Vu7CPD1bBZBYRH+mHwVdxdke4xgvZSzIQNcALZfVtmLUiB7UsIEREV6WuxYDPj9QCcN+zPS7E8uGiLlxyuVqR/l7IXpyBSH8vnK5vw+y3clHXYrBVRCIit7F1fwWMZhFjov0xPPTSe/BcHcuHC6rW6pF3phEAMO0Sd7lcSnSAN7IXZyBco8LJ2lbMeSsH9a0sIEREl0sUxZ4ll5luvtHUiuXDBe04UAlRBFIHDkCkv9c1/30xgZYCEuanwvGaVsx9KxeNbZ02SEpE5PqKy5txorYVKg8Zpl3hHjxXxfLhgrZ3zwzIvMarHhcaFOSD9YvTEaJW4mh1C+a8lYsmFhAiokva2H22x53x4fBTeUicxjGwfLiYcw3tKClvhkwA7kywbcMeHOyL9YszEOSrxJEqHea+nQtte5dNX4OIyJV0dJp69uC5+9keF2L5cDHbD1h+yCcMCUKwWmnzv39oiC+yF6cjyNcThyq7C0gHCwgRUV8+PliFVoMRMQHeSI8NkDqOw2D5cDHfz3Lpv3XFYaFqrFuUgQAfTxys0OLhlXnQ6VlAiIh+6PuNplGQydxziFxfWD5cyPGaFhytboGHXMDkuP7d1DQiTI11i9IxwNsDJeXNmLcyDy0sIEREPc7UtyG3rBGCANyX4r5D5PrC8uFCrFc9bhweDI13/29qGhXuh7WL0qHx8sD+c81YsCofrQZjv78uEZEzeL/QstH0hmHBCNdc+52HroTlw0WIonjBkovt7nK5lLgIDdYtSoefSoGCs01YuCof7Z0sIETk3kxmsad88GyPH2P5cBGlFTqcaWiHykOGSaNC7fra8ZEarF2UDrVKgbwzjVi4Oh8dnSa7ZiAiciRfn6hDtU4Pf28PTBrt3kPk+sLy4SK2lVQAAG4dFQofpcLur58Y5Y93Fo6Dr1KBnNONeGQNCwgRuS/rRtPpYyKhVMglTuN4WD5cgNksYof1YLFrmOVyrcbGDMCahWnw8ZRj36kGLHm3APouFhAici+NbZ347HANAC65XAzLhwsoPNeEKq0eaqUCN40IljRLysAArF44Dt6ecnx9oh4/e7eQBYSI3MrW/RXoMolIiNRgdISf1HEcEsuHC9hWbNloentcGFQe0l/eSxsUgFXz0+DlIcee43X4xboiGIwsIETk+noPkePttRfD8uHkjCYzPj5oneXiOAOL0gcHYuX8NKg8ZPjiaC2WritCp9EsdSwion5VWqHD0eoWeCpkuCspUuo4Dovlw8l9d7oBDW2dCPDxxMShQVLH6WX8kEC8PS8NSoUMu4/U4rH1RegysYAQkeuyXvWYHBdml/OWnBXLh5OzLrlMiQ+Dh9zx/nVOHBqErIdT4amQ4dPDNXg8ez8LCBG5JH2XCR8WW+485EbTn+Z471Z02QxGE3YdqgZg34PFrtQNw4Px5kMp8JTLsLO0Gk++VwwjCwgRuZhPDlVDpzci0t8LE4YESh3HobF8OLG9x+vRojci1E+JcYMce1rizSNCsHxuMjzkAj46UIVfbSyBySxKHYuIyGasSy4zOETuklg+nNi27uPUpyVGOMUP+q2jQvF/c1KgkAnYVlKJ32xiASEi11De2I5vTzZAEID7OUTuklg+nFR7pxG7uw+xceQllx+6bXQo/jM7GXKZgC37K/Db9w/AzAJCRE7OOsdl4pAgRA3wljiN42P5cFKfH6lFR5cJMQHeSIrSSB3nikyOD8O/Z42FXCZgc9F5PPvBQRYQInJa5guGyM3g2R6XheXDSW3rmWAbDkFw/CWXH7ozIRyvPzAGMgF4r6Acv99aygJCRE5p36kGVDR3wE+lwB1xYVLHcQosH05I29GFPcfqAMCpD7HJTIrAP7sLSHbeObywrRSiyAJCRM7lve6NpnePiXSIU6adAcuHE/rkUDU6TWYMD/XFiDC11HGuyd1jIvG3GUkQBGBtzjn8cdshFhAichrN7Z34pPvIgwfSeLbH5WL5cELbrUsuEk6wtaV7k6Pwl/sSIQjAmu/O4v/tOMwCQkROYVtJJTqNZowK90Mch8hdNpYPJ1PfasC+Uw0AnOsul0uZkRqNV+9NAACs+vYM/vzxERYQInJ4Fw6Rc8b9d1Jh+XAyOw9WwWQWkRilwaAgH6nj2NQDaTH48z2WApL1dRle23WMBYSIHNahSi1KK3TwlMswfYzz7r+TAsuHk9le0j3B1kWWXH5odnoMXr47DgDwvz2n8LdPWUCIyDFtKrDcXnvb6FAM8PGUOI1zYflwIlXaDuSdaQQATEsKlzhN/3lo/CD8MXM0AOC/X57CP3efkDgREVFvBqMJW7uHyPFsjyvH8uFEdnRf9Rg3KADhGi+J0/Sv+RNj8YepowAAb3x+Av9iASEiB/LZ4Ro0t3chXKPC9cOCpY7jdFg+nMj2A98fLOYOFl0/GM/dORIA8M/dx/HfL09KnIiIyGJj95LL/SlRkDvBbC1Hw/LhJM7Ut+HAeS3kMgFTEtyjfADAkhuG4HeTLQXkr58cw//2nJI4ERG5u8rmDnx9wnLQI4fIXR2WDydhPdtjwpBABPkqJU5jX4/eNAS/uX04AODVnUeRtfe0xImIyJ1tLjwPUQQyBgdgYKBr3XVoLywfTuL7JRfXvMvlUh67ZRiemmQpIK98fARvf1MmcSIickdms4hN3UPkZqbyRNOrxfLhBI5Vt+B4TSs85TK3Hlr0xKRhePyWoQCAl3ccxpp9Z6QNRERuJ7esEeca2+GrVGBKvPssgdsay4cT2FZiuZ3rxhHB0Hh5SJxGWk/dNhy/uGkIAODFbYfwbs5ZiRMRkTuxnmiamRQBL08OkbtaLB8OThTF7w8Wc9MllwsJgoCn7xiBn904GADw/NZSrM89J3EqInIHOn0XPj5o+f8xh8hdG5YPB3fgvBbnGtvh5SHHpFEhUsdxCIIg4JnJI7HoulgAwHNbDmJjfrnEqYjI1W0vqYTBaJkonhSlkTqOU2P5cHDbuu9ymTQ6FN6eConTOA5BEPD7qaOwYOIgAMDvPjiA97s3gRER9Qfr2R4zU6M5RO4asXw4MLNZxA7rXS6J3Nj0Q4Ig4IVpo/Hw+IEQReDp90uwZT8LCBHZ3rHqFpSUN0MhEzB9LIfIXSuWDweWf6YRNToD1CoFbhzB43v7IggCXrorDnPSYyCKwK83luDD7nkLRES2sql7o+mto0Lc7qyl/sDy4cCsSy6T48KgVHBX9cUIgoCX747HrHHRMIvAU+8V9xzKRkR0rTqNZnyw3/JLDc/2sA2WDwfVZTJjZ2k1AN7lcjlkMgGvTE/AzNQomEXgyfeKsbN7VzoR0bX44mgNGts6EaJW4sbhvAptCywfDmrfqQY0tnUi0McTE4YESh3HKchkAl69NxH3JUfBZBbxy+z92NVd4IiIrpZ1o+l9KVFQyPm2aQv8LjqobcWWZYM7E8L5w34FZDIBf7k/EdPHRMBoFvHY+iJ8drhG6lhE5KRqdHp8dawWADCDQ+Rshu9qDkjfZcKnh7jkcrXkMgF/m5GEzCRLAfnFukJ8cZQFhIiu3Oai8zCLQNqgARgc7Ct1HJfB8uGA9hyvQ4vBiHCNCqkDB0gdxykp5DL8c2YSpiaEo8sk4ufvFvX89kJEdDlEUcSm7iWXGdxoalMsHw7IepfLtMRwyGQ8yOZqKeQyvP7gGEyJD0OnyYwl7xbi6xN1UsciIieRf6YJZfVt8PGUY2oCz1qyJZYPB9NmMOLzI5YlAi65XDsPuQxvzBqL20eHotNoxqI1Bfj2ZL3UsYjICViHyE1LjICPkidM2xLLh4PZfaQG+i4zBgV6IyGSswNswUMuw39mJ2PSqBAYjGY8siYf351qkDoWETmwVoMRHx2w3K4/M40bTW2N5cPBWA/HykyK4OwAG/JUyPDfOcm4eUQw9F1mLFydj9zTLCBE1LePDlSio8uEwcE+SI7h3jtbY/lwINr2Luw5btmTwCUX21Mq5Fg+NwU3DA9GR5cJC1bno+BMo9SxiMgBcYhc/2L5cCC7DlWhyyRiZJgaw0PVUsdxSSoPOVY8lILrhwWhvdOEeSvzUHi2SepYRORATta2ovBsE+QyAfdyiFy/YPlwINtLLOuLvOrRvywFJBUThgSirdOE+SvzUFzeLHUsInIQmwotG01vHhGMED+VxGlcE8uHg6hrMWDfKctdGNMSeUtXf/PylOOtealIjw1Ai8GIh97OxYHzzVLHIiKJdZnM2FxoGSLHsz36T7+Uj4qKCsydOxeBgYHw8vJCQkICCgoK+uOlXMbHB6tgFoGkaH8MDPSROo5b8PZUYOX8NIwbFIAWvRFz38pFaYVW6lhEJKGvjtWhvtWAIF9P3DIyROo4Lsvm5aOpqQkTJ06Eh4cHdu7cicOHD+Pvf/87BgzgbuGf0nOXC6962JWPUoGVC9KQMnAAdHoj5ryVi0OVLCBE7sp6tse9yVHw4FytfmPzU1Nee+01REdHY9WqVT2fi42NtfXLuJSK5g4UnG2CIFgOsyH78lUqsHpBGh5emYf955ox961cZC/JwMgwP6mjEZEd1bbo8cVRDpGzB5vXum3btiE1NRUzZsxASEgIxo4di6ysrIs+32AwQKfT9Xq4mx3dVz3GDQpAmIabm6SgVnlgzcJxSIrSoKm9C3OycnG8pkXqWERkR1v3V8BkFjE2xh/DeMdhv7J5+Th9+jSWL1+OYcOG4ZNPPsGjjz6Kxx9/HGvWrOnz+cuWLYNGo+l5REe73waf7Qe+P1iMpOOn8sA7j6QjIVKDhrZOzM7KwclaFhAidyCKYq+zPah/CaIoirb8Cz09PZGamop9+/b1fO7xxx9Hfn4+vvvuux8932AwwGAw9Hys0+kQHR0NrVYLPz/Xv+x9uq4Vt/x9D+QyAXnP3YpAX6XUkdxec3snZmfl4nCVDsFqJTYsycAQjtImcmmFZ5tw3/J98PKQI+/3t0Kt8pA6ktPR6XTQaDSX9f5t8ysf4eHhGD16dK/PjRo1CufOnevz+UqlEn5+fr0e7sR6tsd1Q4NYPByEv7cn1i1Kx8gwNepaDJi1Igdl9W1SxyKifrSpe6PpnQnhLB52YPPyMXHiRBw7dqzX544fP46BAwfa+qWcniiK2FZiuZ+cSy6OZYCPpYCMCFWjtruAnG1gASFyRe2dxp47DmemcqOpPdi8fDz11FPIycnBn//8Z5w8eRLr16/HihUrsHTpUlu/lNM7Wt2CU3Vt8FTIcHtcqNRx6AcCfZVYtzgdw0J8Ua3TY9aKHJxraJc6FhHZ2McHq9HWacKgQG+Miw2QOo5bsHn5SEtLw5YtW5CdnY34+Hi8/PLLeP311zFnzhxbv5TT29bdtG8eEQw/XuZzSEG+SqxfnIEhwT6o1OoxKysH5Y0sIESuxHq2xwwOkbObfjlBZdq0aTh48CD0ej2OHDmCxYsX98fLODVRFL8/WIxLLg4tWK1E9uIMDA7yQUVzB2Zl5aCiuUPqWERkA2X1bcgra4RMAO5N5hA5e+HxbRIpLm/G+aYOeHvKcetILrk4uhA/FdYvzsCgQG+cb+rArBU5qNKygBA5O+tG0xuGByNc4yVxGvfB8iER65LLbaND4eUplzgNXY4wjQrZSzIQE+CNc43tmLUiB9VavdSxiOgqGU1mbC6ynO3xAM/2sCuWDwmYzCI+OmC5xTaTx6k7lXCNF7KXZCBqgBfONLRjdlYOanUsIETO6OsT9ajRGRDg44lbR/EKtD2xfEggr6wRtS0G+KkUuH54kNRx6ApF+nshe3EGIv29cLq+DbOyclDXYrj0P0hEDsW60XT6mEh4Kvh2aE/8bkvAuuQyJT4cSgWXXJxRdIA3shdnIEKjwqm6NszOykF9KwsIkbNoaDVg95EaAMDMNJ7tYW8sH3bWZTJjZ2n3kgvvcnFqMYHeWL84A2F+KpyobcWcrFw0tnVKHYuILsPW4kp0mUQkRmk4wVoCLB929s3JejS3dyHI1xMZg3mYjbMbFOSD7CUZCFErcaymBbOzctDEAkLk0ERR7LnLZQY3mkqC5cPOthdbllymJoRDIee33xXEdheQIF8ljla3YM5buWhuZwEhclQHzmtxtLoFSoUMd/EKtCT47mdH+i4TPj1sWWPkkotrGRLsiw1L0hHk64nDVTo89HYetB1dUscioj5YN5pOiQ+DxounS0uB5cOOvjpWi1aDEREaFZJjBkgdh2xsaIga6xdnIMDHEwcrtHj47Vzo9CwgRI6ko9OEbcXWIXJccpEKy4cdbbvgOHWZjPMDXNHwUDXWLUrHAG8PlJzXYt7KPLSwgBA5jE8OVaPFYETUAC9kDA6UOo7bYvmwk1aDEZ8fqQXAJRdXNyrcD2sXpcPf2wP7zzVj/qp8tBqMUsciIlwwRC4lmr8ESojlw052H66BwWjG4CAfxEXwti5XFxehwdpH0uGnUqDwbBMWrMpDGwsIkaTKG9ux71QDBAG4L4VD5KTE8mEn1iWXaUkRHNnsJuIjNVi7KB1qlQL5Z5qwcHU+2jtZQIikYr299rqhQYga4C1xGvfG8mEHze2d2Hu8DgBwV1K4xGnInhKj/PHuI+lQKxXILWvEojUF6Og0SR2LyO2YzCLeL7QMkeNGU+mxfNjBrtJqGM0iRoX7YWiIWuo4ZGdjov2xeuE4+HjKse9UAxa/UwB9FwsIkT19e7IelVo9NF4euG00h8hJjeXDDr6/y4VXPdxVysABWL1wHLw95fjmZD2WvFvIAkJkR98PkYuAyoMztaTG8tHPanV6fHe6AQCQmci7XNxZ2qAArJqfBi8POfYer8OjawthMLKAEPW35vZOfHrIcsAjj1N3DCwf/eyjg1UQRWBsjD+iA7jByd2lDw7EyvlpUHnI8OWxOixdV4ROo1nqWEQu7cPiSnSazBgd7of4SI3UcQgsH/1uu3XJhVc9qNv4IYF4e14alAoZdh+pxWPri9BlYgEh6i/WJZeZqVESJyErlo9+VN7YjqJzzRAEYGoi93vQ9yYODULWw6nwVMjw6eEaPJ69nwWEqB+UVmhxqFIHT7kM08fybA9HwfLRj3YcqAIAZMQGItRPJXEacjQ3DA/GiodS4CmXYWdpNZ7cUAwjCwiRTVnP9rg9LhT+3p4SpyErlo9+tP2CWS5EfblpRAj+91AyPOQCPjpYhac2lrCAENmIvsuErRwi55BYPvrJydpWHK7SQSETMCU+TOo45MBuGRmK/5uTAg+5gO0llXj6/QMwmUWpYxE5vc8O10Db0YUIjQoThwZJHYcuwPLRT6xXPa4fFoQBPrzURz/tttGh+PesZChkArbsr8BvWUCIrpl1o+n9KVGQc4icQ2H56AeiKGL7AS650JWZHB+GN2aNhVwmYHPReTz7wQGYWUCIrkpFcwe+OVkPALg/hUsujoblox8crtLhdF0blAoZj/GlK3JnQjhef2AMZAKwseA8fr/1IAsI0VV4v+A8RBGYMCQQMYE8Y8nRsHz0A+tx6reMDIFa5SFxGnI2mUkR+Gd3AcnOK8fzH5ZCFFlAiC6X2SxiU6H1bA9e9XBELB82JooidpRYbrHlkgtdrbvHROLvM5MgCMC63HP447ZDLCBElynndAPON3VArVJgMjf8OySWDxsrOteMiuYO+HjKccvIEKnjkBO7Z2wU/nq/pYCs+e4s/t+OwywgRJfButH0riQOkXNULB82Zr3L5fa4MP7Q0zW7PyUKr96bAABY9e0ZvPLRERYQop+g7ejCztJqAFxycWQsHzZkMos9p5pmJvE4dbKNB9Ji8Od7LAXkrW/K8OquoywgRBexvaQSBqMZI0LVSIziEDlHxfJhQ7mnG1DfaoDGywPXDQ2WOg65kNnpMXh5ejwA4M09p/HXT46xgBD1wbrkMiM1CoLAsz0cFcuHDVnvcrkzIQyeCn5rybYeyhiIl+6KAwD831en8M/PjkuciMixHKnS4cB5LTzkAu7hEDmHxndIG+k0mnvWGTMTeZcL9Y95Ewbh+WmjAQBvfHES/9p9QuJERI5jU8F5AMCkUaEI9FVKnIZ+CsuHjXxzsg7aji4Eq5VIHxwodRxyYY9cF4vf3zkKAPDP3cfxny9YQIg6jWZs2W8pH9xo6vhYPmxkW/fkxKkJ4ZwhQP1u8Q2D8bvJIwEAf/v0OJZ/dUriRETS+vxIDZrauxDqp8T1wzhEztGxfNhAR6cJnx2uAcCDxch+Hr1pCJ6+YwQA4LVdR7FiLwsIuS/rRtP7kqOgkPOtzdHx35ANfHmsFm2dJkT6eyE5xl/qOORGlt48FE9NGg4A+PPHR/HW16clTkRkf9VaPfYcrwMAzOCSi1Ng+bAB65JLZlIEb+0iu3ti0jA8fuswAMCfPjqC1d+WSZyIyL42F52HWQTGxQYgNshH6jh0GVg+rlGLvgtfHKsFwIPFSDpPTRqGpTcPAQD8cfthvPvdGWkDEdmJKIo9Sy7caOo8WD6u0WeHa9BpNGNwsA9Gh/tJHYfclCAI+M3tI/CzGwcDAJ7/8BDW556TOBVR/8sra8TZhnb4eMpxZwKHyDkLlo9rZD1Y7C4uuZDEBEHAM5NHYvH1sQCA57YcxHv5LCDk2jZ2n+2RmRQBb0+FxGnocrF8XIPGtk58c6IeADCNB4uRAxAEAc/dOQoLJg4CADzzwUFs6r4kTeRqWvRd+PigZZ4WN5o6F5aPa7CrtBpGs4jR4X4YGuIrdRwiAJYC8sK00Zg3fiBEEfjt5gP4oOi81LGIbO6jA1Xo6DJhSLAP7zR0Miwf12BbSQUA4K4xvOpBjkUQBPzxrjjMzYiBKAK/2VSCD4srpI5FZFPvdV/VeyAtmsveTobl4yrV6PTILWsEYDnVlMjRCIKA/3dXPGaNi4ZZBJ56rxjbu/coETm7EzUt2H+uGXKZgHvGRkkdh64Qy8dV2nGgCqIIJMf4IzrAW+o4RH2SyQS8Mj0BM1OjYBaBJ98r7lkjJ3JmmwotS4m3jAxBsJpD5JwNy8dV2n7BXS5EjkwmE/DqvYm4LzkKJrOIx7P3Y1f3BGYiZ9RlMvfsY+LZHs6J5eMqlDe2o7i8GTIBuDORSy7k+GQyAX+5PxH3jI2E0SzisfVF+PQQCwg5py+P1qK+tRNBvkrcNCJY6jh0FVg+roL1bI+MwYEIUaskTkN0eeQyAX+bkYS7kiJgNItYur4Inx+pkToW0RWznu1xX3IkPDhEzinx39pV4JILOSu5TMA/ZiZhamI4ukwiHl1bhC+7xwMQOYNanb7nZ5Znezgvlo8rdKKmBUerW6CQCZgcz6N8yfko5DK8/sAYTIkPQ6fJjJ+9W4i93RNBiRzdB/srYDKLSBk4gOcrOTGWjytkvepxw/Bg+Ht7SpyG6Op4yGV4Y9ZY3D46FJ1GMxa/U9BzWi+Ro+o9RI631zozlo8rIIoith+w3KbIJRdydh5yGf4zOxmTRoXAYDRj0Tv52HeKBYQcV9G5Jpyua4OXhxxTOdLCqbF8XIFDlTqU1bdBqZBh0uhQqeMQXTNPhQz/nZOMm0cEQ99lxiOrC5B7ukHqWER92phv2Wg6NTEcvkoOkXNmLB9XwHqXy62jQviDTy5DqZBj+dwU3Dg8GB1dJixYnY/8M41SxyLqpc1gxI4Dlv8H82wP58fycZnMZhE7eJcLuSiVhxxvPpSC64cFob3ThPkr81B4tknqWEQ9Pj5YhbZOE2KDfJA2aIDUcegasXxcpqJzTajU6uGrVOCmESFSxyGyOZWHHCseSsWEIYFo6zRh3so87D/HAkKOwbrRdEZqFIfIuQCWj8tkXXK5fXQoVB5yidMQ9Q8vTznenpeGjMEBaDUY8fDbeSgpb5Y6Frm503WtyD/TBJkA3JfMu1xcAcvHZTCazD3DuDLHcMmFXJu1gIwbFIAWgxEPvZ2L0gqt1LHIjVmHyN00IgShfjxV2hWwfFyGnNONqG/thL+3B64bGiR1HKJ+56NUYOWCNKQOHACd3og5b+XiUCULCNmf0WTG5kLrEDle9XAVLB+XYVtJBQBgSnw45wiQ2/BVKrBqQRrGxvhD29GFuW/l4kiVTupY5Gb2nqhDbYsBAT6euGUkjzhwFf3+Tvrqq69CEAQ8+eST/f1S/cJgNPWMH+ddLuRu1CoPrFk4DknR/mhq78Kct3JxrLpF6ljkRqxne9wzNhKeCv7y5yr69d9kfn4+3nzzTSQmJvbny/Srr4/XQ6c3IkStxLjYAKnjENmdn8oD7ywch4RIDRrbOjE7KwcnalhAqP/Vtxqwu3vyMs/2cC39Vj5aW1sxZ84cZGVlYcAA570n23qXy7TECMhlvL2L3JPGywPvPjIOcRF+aGjrxKysXJysbZU6Frm4rfsrYDSLSIr2x4gwtdRxyIb6rXwsXboUU6dOxaRJk37yeQaDATqdrtfDUbR3GvHZYUvrzkwKlzgNkbT8vT2x9pF0jAr3Q32rAbOzcnC6jgWE+ocoingvn0PkXFW/lI8NGzagqKgIy5Ytu+Rzly1bBo1G0/OIjnacS2tfHK1FR5cJ0QFeGBPtL3UcIskN8PHEukXpGBmmRm2LAbOycnCmvk3qWOSCSs5rcaK2FUqFDJncb+dybF4+ysvL8cQTT2DdunVQqS59P/azzz4LrVbb8ygvL7d1pKu2rdiy5JKZGMET9Yi6Bfh4Yu2idAwL8UWNzlJAzjW0Sx2LXIz1RNM7E8Lhp/KQOA3Zms3LR2FhIWpra5GcnAyFQgGFQoE9e/bgjTfegEKhgMlk6vV8pVIJPz+/Xg9HoNN34atjdQDA1k30A0G+SqxfnIEhwT6o0uoxKysH5Y0sIGQbHZ0mbO/+5W8Gl1xcks3Lx6233oqDBw+iuLi455Gamoo5c+aguLgYcrlzHE3+6aEadJrMGBrii5Hc6ET0I8FqJbIXZ2BwkA8qmjswKysH55tYQOja7SytQovBiJgAb2TEBkodh/qBzcuHWq1GfHx8r4ePjw8CAwMRHx9v65frN9sumGDLJReivoX4qbB+cQYGBXrjfFMHZmflorK5Q+pY5OR6hsilREHGuwxdEk9s6UNDqwHfnqwHAExL5F0uRD8lTKNC9pIMxAR441xjO2Zn5aBaq5c6Fjmpsw1tyDndCEEA7kvhkourskv5+Oqrr/D666/b46VsYmdpNUxmEfGRfhgc7Ct1HCKHF67xQvaSDEQHeOFMg6WA1OpYQOjKvd89x+X6YcGI8PeSOA31F1756MOFSy5EdHki/b2QvTgDkf5eOF3fhllZOahtYQGhy2cyiz3lg2d7uDaWjx+o0nYg/0wjAGBqIssH0ZWIGuCN7MUZiNCocKquDXOyclHfapA6FjmJb07Wo0qrh7+3B24bzSFyrozl4wc+OlAFUQRSBw5AJC/5EV2xmEBvZC/JQJifCidqWzEnKxcNLCB0GawbTaePiYRS4Rx3RtLVYfn4ge3WJZcxvOpBdLUGBvoge0kGQtRKHKtpwZy3ctHU1il1LHJgTW2d+OwQh8i5C5aPC5xtaEPJeS1kAjAlnne5EF2L2CBLAQlWK3G02lJAmttZQKhvW4sr0GkyIz7SD6MjHOOwSeo/LB8XsF71mDAkCMFqpcRpiJzfkGBfZC9OR5CvJw5X6TD37Vxo27ukjkUOpvcQOV71cAcsHxfYXlIFgHe5ENnS0BA11i/OQICPJ0ordHh4ZS60HSwg9L1DlTocrW6Bp0LG//+6CZaPbseqW3CspgUecgF3xIVJHYfIpQwPVWP94nQM8PZAyXkt5q3MQ4ueBYQsrBtN74gLg7+3p8RpyB5YPrpZl1xuHB4MjTcnKBLZ2sgwP6xblAF/bw8Ulzdj/qp8tBqMUsciiem7TNi6vwIAz/ZwJywfsKw3bj9gKR+cYEvUf0ZH+GHtI+nwUylQeLYJC1bloY0FxK19cqgaOr0Rkf5emDgkSOo4ZCcsHwAOVmhxtqEdKg8ZJo3iwTZE/Sk+UoO1i9KhVimQf6YJC1bno72TBcRdbSqwnGh6P4fIuRWWDwDbii1XPW4dFQofpULiNESuLzHKH+8+kg61UoG8skY8sroAHZ0mqWORnZU3tuPbU5YhnvdziJxbcfvyYTaL2HGAd7kQ2duYaH+sXjgOPp5yfHe6AYvfKYC+iwXEnWwuOg9RBCYODUR0gLfUcciO3L58FJxtQrVOD7VSgRuHB0sdh8itpAwcgDULx8HbU45vTtZjybuFLCBuwmwWe5ZceLaH+3H78rGtxLLL+va4MKg8OEuAyN5SBwVg1fw0eHnIsfd4HR5dWwiDkQXE1X13ugEVzR1QqxQ83sANuXX5MJrM+PhgNQDOciGSUvrgQKycnwaVhwxfHqvDL9YWodNoljoW9SPriabTx0TyFz835NblY9+pBjS2dSLAxxMThgRKHYfIrY0fEoi356VBqZDh86O1WLqeBcRVadu7sOuQ5Rc/Lrm4J7cuH9u6DxabEh8GD7lbfyuIHMLEoUHIejgVngoZPjtcg8ez96PLxALiaraVVKDTaMbIMDXiIzlEzh257TuuwWjCJ6XdSy68y4XIYdwwPBgrHkqBp1yGXYeq8eSGYhhZQFzKxgs2mgoCz/ZwR25bPvYcq0OLwYhQPyXSBgVIHYeILnDTiBD876FkeMgFfHSwCk9tLGEBcRGHK3U4WKGFh1zA9LGRUschibht+bAuuUxLjOCpekQO6JaRoVg+JwUecgHbSyrxm00lMJlFqWPRNdpUaNloetvoUAT4cIicu3LL8tHeacTnR2oBcMmFyJFNGh2Kf89KhkImYGtxJZ5+nwXEmRmMFw6R40ZTd+aW5WP3kVp0dJkQE+CNxCiN1HGI6CdMjg/Dv2eNhVwm4IOiCjyz+QDMLCBOaffhWjS1dyHMT4Xrh/FQR3fmluXDOsslMymcm52InMCUhHD868ExkAnApsLzeG7LQRYQJ7SxwLLkcn9KFORc7nZrblc+tO1d2HPcuuTCzU5EzmJaYgT++YClgGzIL8cfPiyFKLKAOIvK5g7sPVEHgEPkyA3LxyeHq9FlEjE81BcjwtRSxyGiK3D3mEj8fWYSBAFYn3sOL247xALiJD7oHiKXHhuAQUE+UschiblN+TCZRXx3qgFvf1MGAJiaEC5xIiK6GveMjcJf77cUkHe+O4uXth9mAXFwZrPY62wPIoXUAexhV2kVXtp+GFVafc/n1uacw4gwNSbHs4QQOZv7U6JgNov47eYDWL3vDOQyAX+YOop7uBxU3plGnGtsh69SgSkJHCJHbnDlY1dpFR5dW9SreABAfasBj64twq7SKomSEdG1mJkWjT/fkwAAePubMry68yivgDiojd1D5DKTIuDt6Ra/89IluHT5MJlFyyXZPv7M+rmXth/muQFETmp2egxenh4PAHhz72n85ZNjLCAORqfvwsfdv+TNTOVGU7Jw6fKRV9b4oyseFxIBVGn1yCtrtF8oIrKphzIG4qW74gAAy786hX9+dlziRHShHSVV0HeZMSzEF2Oi/aWOQw7CpctHbcvFi8fVPI+IHNO8CYPwwrTRAIA3vjiJ13ezgDgK69keHCJHF3Lp8hGiVtn0eUTkuBZeF4s/TB0FAHh99wn8+/MTEiei4zUtKC5vhkLGIXLUm0uXj3GxAQjXqHCxri0ACNeoMC6WU22JXMGi6wfjmSkjAQB//+w4/u+rkxIncm+buq963DIyBMFqpcRpyJG4dPmQywS8mGm5FPvDAmL9+MXM0Tzml8iF/PzGIXj6jhEAgL/sOoY395ySOJF76jSa8UGRZYjcA2k824N6c+nyAQCT48OxfG4ywjS9l1bCNCosn5vMcz6IXNDSm4fiV7cNBwAs23kUb319WuJE7ueLo7VoaOtEsFqJG4dziBz15hY3XE+OD8dto8OQV9aI2hY9QtSWpRZe8SByXY/fOgxGs4g3Pj+BP310BHKZgAUTY6WO5TasSy73JUdBIXf533PpCrlF+QAsSzDjhwRKHYOI7OipScNgNov4z5cn8dL2w5DLBDw8fpDUsVxejU6PL49ZBnjO4Nke1AfWUSJyWYIg4Ne3D8fPbxwCAHjhw0NYl3tW4lSu74OiCphFIHXgAAwJ9pU6Djkglg8icmmCIOB3k0dg8fWWJZffbynFhrxzEqdyXaIo9iy5cIgcXQzLBxG5PEEQ8Nydo7Cwe8/Hs1sO9hx+RbZVeLYJp+vb4O0px9REbuinvrF8EJFbEAQBz08bhfkTBkEUgd9tPoDNheeljuVy3useIjctMRw+SrfZVkhXiOWDiNyGIFjO/pmbEQNRBH7zfgm27q+QOpbLaDUY8dFB6xA5LrnQxbF8EJFbEQQB/++ueMwaZykgv9pYjG0llVLHcgkfH6hCe6cJg4N8kDJwgNRxyIGxfBCR25HJBLwyPR4PpEbDLAJPvVeMjw5USR3L6Vn30czgEDm6BJYPInJLMpmAZfcm4P6UKJjMIh7fsB+7SllArtapulYUnG2CXCbgvmQOkaOfxvJBRG5LJhPw2n2JuHdsJExmEY+t349PD1VLHcspbSqwbN69eUQwQvw4KZx+GssHEbk1uUzAX2ck4e4xETCaRSxdX4TPj9RIHcupGE1mbC6ylI8Z3GhKl4Hlg4jcnlwm4O8zkjA1MRxdJhGPri3Cl0drpY7lNL46Voe6FgOCfD1xy8gQqeOQE2D5ICICoJDL8PoDYzAlPgydJjN+trYQe47XSR3LKVg3mt4zNhIeHCJHl4E/JURE3TzkMrwxayzuiAtFp9GMJe8U4JsT9VLHcmh1LQZ8cdQ6RI5LLnR5WD6IiC7gIZfh37OSMWlUKAxGMx5Zk499J1lALmbr/goYzSLGRPtjeKha6jjkJFg+iIh+wFMhw3/njMUtI0O6C0gBck43SB3L4Yii2LPkwhNN6UqwfBAR9UGpkOP/5iTjxuHB6OgyYeHqfOSVNUody6HsL2/GidpWqDxkyEziEDm6fCwfREQXofKQ482HUnD9sCC0d5qwYFUeCs+ygFht6r7qcWdCONQqD4nTkDNh+SAi+gkqDzmyHk7FhCGBaOs0Yd7KfBSda5I6luTaO43YXsIhcnR1WD6IiC5B5SHH2/PSkDE4AK0GI+a9nYeS8mapY0lq58FqtBqMGBjojfTYAKnjkJNh+SAiugxennKsnJ+GcYMC0GIw4qG3c3HwvFbqWJLpGSKXEsUhcnTFWD6IiC6Tt6cCKxekIXXgAOj0Rsx9OxelFe5XQM7UtyG3rBEyAbgvJUrqOOSEWD6IiK6Ar1KBVQvSkBzjD21HF+a+nYvDlTqpY9nV+4WWOS43DA9GuMZL4jTkjFg+iIiukFrlgdULxyEp2h/N7ZYCcqy6RepYdmEyiz3lgxtN6WqxfBARXQU/lQfeWTgOiVEaNLZ1YnZWDk7UuH4B2XuiDtU6PQZ4e+DWURwiR1eH5YOI6CppvDzw7sJ0xEX4oaGtE7OycnGytlXqWP3KerbH9LGRUCrkEqchZ8XyQUR0DTTeHlj7SDpGhfuhvtWA2Vk5OF3nmgWksa0Tnx2uAQDMSOGSC109m5ePZcuWIS0tDWq1GiEhIZg+fTqOHTtm65chInIYA3w8sW5ROkaGqVHbYsCsrBycqW+TOpbNbd1fgS6TiIRIDUZH+Ekdh5yYzcvHnj17sHTpUuTk5OCzzz5DV1cXbr/9drS1ud5/iEREVgHdBWR4qC9qdJYCcrbBdf6/12uIXBqvetC1EURRFPvzBerq6hASEoI9e/bghhtuuOTzdTodNBoNtFot/PzYrInIudR1X/k4WduKCI0K7/1sPKIDvKWOdc0OnG/GXf/5FkqFDHm/nwSNF2e5UG9X8v7d73s+tFrLATwBAX0fv2swGKDT6Xo9iIicVbBaifWL0zE42AeVWj1mZeXgfFO71LGumfWqx+T4MBYPumb9Wj7MZjOefPJJTJw4EfHx8X0+Z9myZdBoND2P6GheziMi5xaiViF7cQZig3xwvqkDs7JyUNncIXWsq6bvMuHD4koAPNuDbKNfy8fSpUtRWlqKDRs2XPQ5zz77LLRabc+jvLy8PyMREdlFqJ8K6xenY2CgN8obLQWkWquXOtZV+eRQNVr0RkT6e2H84ECp45AL6Lfy8dhjj2HHjh348ssvERV18bP/lUol/Pz8ej2IiFxBuMYL2YszEB3ghbMN7ZiVlYManfMVkJ4hcqlRkMk4RI6unc3LhyiKeOyxx7BlyxZ88cUXiI2NtfVLEBE5jQh/SwGJ9PdCWX0bZmXloLbFeQpIeWM7vj3ZAEEA7ucQObIRm5ePpUuXYu3atVi/fj3UajWqq6tRXV2Njg7nXe8kIroWUQO8sWFJBiI0Kpyua8PsrFzUtxqkjnVZrHNcrhsahKgBzn/XDjkGm5eP5cuXQ6vV4qabbkJ4eHjP47333rP1SxEROY3oAG9kL8lAmJ8KJ2tbMTsrBw0OXkAuHCI3gxtNyYb6Zdmlr8f8+fNt/VJERE5lYKAPspdkINRPieM1rZjzVi4a2zqljnVR+07Vo6K5A34qBW4fHSp1HHIhnO1CRGRHsUE+WL84A8FqJY5Wt2DuW7lobnfMArKxwHLVY/rYSKg8OESObIflg4jIzoYE+yJ7cTqCfJU4XKXD3LdzoW3vkjpWL83tnfjkUDUAnu1BtsfyQUQkgaEhaqxfnI5AH0+UVujw0MpcaDscp4BsK6lEp9GMUeF+iOMQObIxlg8iIokMD1Vj3eJ0DPD2wIHzWsxbmYcWvWMUEOvZHg+kRkEQeLYH2RbLBxGRhEaG+WHdogz4e3uguLwZ81bmodVglDTToUotSit08JTLcPeYSEmzkGti+SAiktjoCD+sfSQdfioFis41Y8GqPLRJWEA2dW80vS0uFAN8PCXLQa6L5YOIyAHER2qwblEG1CoF8s80YcHqfLR32r+A6LtM2LK/AgA3mlL/YfkgInIQCVEavPtIOtRKBfLKGvHI6gJ0dJrsmmH3kRpoO7oQrlHhuqFBdn1tch8sH0REDmRMtD/WPDIOvkoFvjvdgEXv5EPfZb8CYj3b4/6UKMg5RI76CcsHEZGDSY4ZgNUL0uDtKce3Jxuw+J0CuxSQyuYOfH2iDgAwI4VLLtR/WD6IiBxQ6qAArF4wDl4ecnx9oh4/X1sIg7F/C8j7hechisD4wYGICeQQOeo/LB9ERA5qXGwAVs5Pg8pDhq+O1eHRtUX9VkDMZhGbCi1ne8xMi+qX1yCyYvkgInJg44cEYuW8NCgVMnxxtBZL1+1Hp9Fs89fJKWtAeWMH1EoFJseF2/zvJ7oQywcRkYObMDQIb81LhadCht1HavDL7CJ0mWxbQKxne2SOiYCXJ4fIUf9i+SAicgLXDwvGiodS4CmX4ZNDNXhiw34YbVRAdPoufHywCgDP9iD7YPkgInISN40IwZsPpcBDLuDjg9V48r1imxSQ7SWVMBjNGBGqRlKUxgZJiX4aywcRkRO5eWQIls+xFJAdB6rw600lMJnFa/o7rWd7zOAQObITlg8iIiczaXQo/jM7GQqZgA+LK/H0NRSQY9UtKClvhkIm4J6xHCJH9sHyQUTkhO6IC8O/Z42FXCbgg/0V+N3mAzBfRQHZWGC5vXbSqFAE+iptHZOoTywfREROakpCOP714BjIZQLeLzyP57YcvKIC0mk0fz9Ejmd7kB2xfBARObFpiRH4x8wkyARgQ345/vBh6WUXkC+O1qCxrRMhaiVuGBbcz0mJvsfyQUTk5O4eE4m/z0yCIADrc8/hxW2HIIqXLiDWjab3pURBIefbAdkPf9qIiFzAPWOj8Nf7LQXk3ZyzeGn74Z8sIDU6Pb46VguAZ3uQ/bF8EBG5iPtTovDavYkAgNX7zuDlHUcuWkDeLzwPswiMGxSA2CAfe8YkYvkgInIlM9OisezeBADAym/LsGzn0R8VEFEUsan7LpcZqdxoSvankDoAERHZ1qxxMTCZRfxhaylW7D0NuUzAb+8YAbMI5JU14rvTDTjT0A5vDxnuTOAQObI/lg8iIhc0N2MgzKKIFz48hOVfncKZ+jbsL29GtVbf8xwRAr4+UYfJ8SwgZF9cdiEiclEPjx+EF6aNBgDsLK3uVTwAoKPLhEfXFmFXaZUU8ciNsXwQEbmweRMGQa366YvcL20/fM3zYYiuBMsHEZELyytrRIveeNE/FwFUafXIK2u0XyhyeywfREQurLZFf+knXcHziGyB5YOIyIWFqFU2fR6RLbB8EBG5sHGxAQjXqCBc5M8FAOEaFcbFBtgzFrk5lg8iIhcmlwl4MdNyx8sPC4j14xczR0Muu1g9IbI9lg8iIhc3OT4cy+cmI0zTe2klTKPC8rnJPOeD7I6HjBERuYHJ8eG4bXQY8soaUduiR4jastTCKx4kBZYPIiI3IZcJGD8kUOoYRFx2ISIiIvti+SAiIiK7YvkgIiIiu2L5ICIiIrti+SAiIiK7YvkgIiIiu2L5ICIiIrti+SAiIiK7YvkgIiIiu3K4E05FUQQA6HQ6iZMQERHR5bK+b1vfx3+Kw5WPlpYWAEB0dLTESYiIiOhKtbS0QKPR/ORzBPFyKoodmc1mVFZWQq1WQxBsO/BIp9MhOjoa5eXl8PPzs+nf7Qzc/esH+D1w968f4PeAX797f/1A/30PRFFES0sLIiIiIJP99K4Oh7vyIZPJEBUV1a+v4efn57Y/dAC/foDfA3f/+gF+D/j1u/fXD/TP9+BSVzysuOGUiIiI7Irlg4iIiOzKrcqHUqnEiy++CKVSKXUUSbj71w/we+DuXz/A7wG/fvf++gHH+B443IZTIiIicm1udeWDiIiIpMfyQURERHbF8kFERER2xfJBREREduUW5WPv3r3IzMxEREQEBEHA1q1bpY5kV8uWLUNaWhrUajVCQkIwffp0HDt2TOpYdrN8+XIkJib2HKgzfvx47Ny5U+pYknn11VchCAKefPJJqaPYzR//+EcIgtDrMXLkSKlj2V1FRQXmzp2LwMBAeHl5ISEhAQUFBVLHsotBgwb96GdAEAQsXbpU6mh2YTKZ8PzzzyM2NhZeXl4YMmQIXn755cuaw9IfHO6E0/7Q1taGpKQkLFy4EPfee6/Ucexuz549WLp0KdLS0mA0GvHcc8/h9ttvx+HDh+Hj4yN1vH4XFRWFV199FcOGDYMoilizZg3uvvtu7N+/H3FxcVLHs6v8/Hy8+eabSExMlDqK3cXFxWH37t09HysUbvG/vx5NTU2YOHEibr75ZuzcuRPBwcE4ceIEBgwYIHU0u8jPz4fJZOr5uLS0FLfddhtmzJghYSr7ee2117B8+XKsWbMGcXFxKCgowIIFC6DRaPD444/bPY9b/Nc3ZcoUTJkyReoYktm1a1evj1evXo2QkBAUFhbihhtukCiV/WRmZvb6+JVXXsHy5cuRk5PjVuWjtbUVc+bMQVZWFv70pz9JHcfuFAoFwsLCpI4hmddeew3R0dFYtWpVz+diY2MlTGRfwcHBvT5+9dVXMWTIENx4440SJbKvffv24e6778bUqVMBWK4EZWdnIy8vT5I8brHsQr1ptVoAQEBAgMRJ7M9kMmHDhg1oa2vD+PHjpY5jV0uXLsXUqVMxadIkqaNI4sSJE4iIiMDgwYMxZ84cnDt3TupIdrVt2zakpqZixowZCAkJwdixY5GVlSV1LEl0dnZi7dq1WLhwoc0HmDqqCRMm4PPPP8fx48cBACUlJfjmm28k+8XcLa580PfMZjOefPJJTJw4EfHx8VLHsZuDBw9i/Pjx0Ov18PX1xZYtWzB69GipY9nNhg0bUFRUhPz8fKmjSCI9PR2rV6/GiBEjUFVVhZdeegnXX389SktLoVarpY5nF6dPn8by5cvxq1/9Cs899xzy8/Px+OOPw9PTE/PmzZM6nl1t3boVzc3NmD9/vtRR7OaZZ56BTqfDyJEjIZfLYTKZ8Morr2DOnDnSBBLdDABxy5YtUseQzM9//nNx4MCBYnl5udRR7MpgMIgnTpwQCwoKxGeeeUYMCgoSDx06JHUsuzh37pwYEhIilpSU9HzuxhtvFJ944gnpQkmsqalJ9PPzE9966y2po9iNh4eHOH78+F6f++UvfylmZGRIlEg6t99+uzht2jSpY9hVdna2GBUVJWZnZ4sHDhwQ33nnHTEgIEBcvXq1JHl45cONPPbYY9ixYwf27t2LqKgoqePYlaenJ4YOHQoASElJQX5+Pv71r3/hzTfflDhZ/yssLERtbS2Sk5N7PmcymbB371785z//gcFggFwulzCh/fn7+2P48OE4efKk1FHsJjw8/EdX+0aNGoXNmzdLlEgaZ8+exe7du/HBBx9IHcWunn76aTzzzDN48MEHAQAJCQk4e/Ysli1bJsmVL5YPNyCKIn75y19iy5Yt+Oqrr9xqk9nFmM1mGAwGqWPYxa233oqDBw/2+tyCBQswcuRI/O53v3O74gFYNt+eOnUKDz30kNRR7GbixIk/usX++PHjGDhwoESJpLFq1SqEhIT0bLx0F+3t7ZDJem/zlMvlMJvNkuRxi/LR2tra6zecsrIyFBcXIyAgADExMRIms4+lS5di/fr1+PDDD6FWq1FdXQ0A0Gg08PLykjhd/3v22WcxZcoUxMTEoKWlBevXr8dXX32FTz75ROpodqFWq3+0v8fHxweBgYFus+/nN7/5DTIzMzFw4EBUVlbixRdfhFwux6xZs6SOZjdPPfUUJkyYgD//+c+YOXMm8vLysGLFCqxYsULqaHZjNpuxatUqzJs3z+1utc7MzMQrr7yCmJgYxMXFYf/+/fjHP/6BhQsXShNIksUeO/vyyy9FAD96zJs3T+podtHX1w5AXLVqldTR7GLhwoXiwIEDRU9PTzE4OFi89dZbxU8//VTqWJJytz0fDzzwgBgeHi56enqKkZGR4gMPPCCePHlS6lh2t337djE+Pl5UKpXiyJEjxRUrVkgdya4++eQTEYB47NgxqaPYnU6nE5944gkxJiZGVKlU4uDBg8Xf//73osFgkCSPIIoSHW9GREREbonnfBAREZFdsXwQERGRXbF8EBERkV2xfBAREZFdsXwQERGRXbF8EBERkV2xfBAREZFdsXwQERGRXbF8EBERkV2xfBAREZFdsXwQERGRXbF8EBERkV39f3vUpmO3/RXUAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#连线+散点\n",
    "plt.plot(xpoints, ypoints, marker='o')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x1 = np.array([0, 1, 2, 5])\n",
    "y1 = np.array([3, 8, 1, 10])\n",
    "x2 = np.array([2, 3, 4, 5])\n",
    "y2 = np.array([6, 2, 7, 11])\n",
    "\n",
    "plt.plot(x1, y1, x2, y2)\n",
    "\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
